Modeling the kinetics of heteromeric potassium channels

Mechanistic mathematical modeling has long been used as a tool for answering questions in cellular physiology. To mathematically describe cellular processes such as cell excitability, volume regulation, neurotransmitter release, and hormone secretion requires accurate descriptions of ion channel kin...

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Main Authors: Kees McGahan, James Keener
Format: Article
Language:English
Published: Frontiers Media S.A. 2022-11-01
Series:Frontiers in Cellular Neuroscience
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fncel.2022.1036813/full
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author Kees McGahan
James Keener
author_facet Kees McGahan
James Keener
author_sort Kees McGahan
collection DOAJ
description Mechanistic mathematical modeling has long been used as a tool for answering questions in cellular physiology. To mathematically describe cellular processes such as cell excitability, volume regulation, neurotransmitter release, and hormone secretion requires accurate descriptions of ion channel kinetics. One class of ion channels currently lacking a physiological model framework is the class of channels built with multiple different potassium protein subunits called heteromeric voltage gated potassium channels. Here we present a novel mathematical model for heteromeric potassium channels that captures both the number and type of protein subunits present in each channel. Key model assumptions are validated by showing our model is the reduction of a Markov model and through observations about voltage clamp data. We then show our model's success in replicating kinetic properties of concatemeric channels with different numbers of Kv1.1 and Kv1.2 subunits. Finally, through comparisons with multiple expression experiments across multiple voltage gated potassium families, we use the model to make predictions about the importance and effect of genetic mutations in heteromeric channel formation.
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spelling doaj.art-813400ce37774119b6900c35deb4d1c42022-12-22T02:28:18ZengFrontiers Media S.A.Frontiers in Cellular Neuroscience1662-51022022-11-011610.3389/fncel.2022.10368131036813Modeling the kinetics of heteromeric potassium channelsKees McGahanJames KeenerMechanistic mathematical modeling has long been used as a tool for answering questions in cellular physiology. To mathematically describe cellular processes such as cell excitability, volume regulation, neurotransmitter release, and hormone secretion requires accurate descriptions of ion channel kinetics. One class of ion channels currently lacking a physiological model framework is the class of channels built with multiple different potassium protein subunits called heteromeric voltage gated potassium channels. Here we present a novel mathematical model for heteromeric potassium channels that captures both the number and type of protein subunits present in each channel. Key model assumptions are validated by showing our model is the reduction of a Markov model and through observations about voltage clamp data. We then show our model's success in replicating kinetic properties of concatemeric channels with different numbers of Kv1.1 and Kv1.2 subunits. Finally, through comparisons with multiple expression experiments across multiple voltage gated potassium families, we use the model to make predictions about the importance and effect of genetic mutations in heteromeric channel formation.https://www.frontiersin.org/articles/10.3389/fncel.2022.1036813/fullheteromeric potassium ion channelsKv1 channelsKv7 channelsmathematical modelingion channel kinetics
spellingShingle Kees McGahan
James Keener
Modeling the kinetics of heteromeric potassium channels
Frontiers in Cellular Neuroscience
heteromeric potassium ion channels
Kv1 channels
Kv7 channels
mathematical modeling
ion channel kinetics
title Modeling the kinetics of heteromeric potassium channels
title_full Modeling the kinetics of heteromeric potassium channels
title_fullStr Modeling the kinetics of heteromeric potassium channels
title_full_unstemmed Modeling the kinetics of heteromeric potassium channels
title_short Modeling the kinetics of heteromeric potassium channels
title_sort modeling the kinetics of heteromeric potassium channels
topic heteromeric potassium ion channels
Kv1 channels
Kv7 channels
mathematical modeling
ion channel kinetics
url https://www.frontiersin.org/articles/10.3389/fncel.2022.1036813/full
work_keys_str_mv AT keesmcgahan modelingthekineticsofheteromericpotassiumchannels
AT jameskeener modelingthekineticsofheteromericpotassiumchannels